MATH 141 - PRECALCULUS

 

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ALEKS Extra Credit

(This review can especially help with the very difficult Quiz 1A.)

YOU CAN PAY FOR AN ALEKS LICENSE.  http://www.aleks.com

I CAN SEND YOU A CLASS CODE.  Email me

GETTING STARTED:

ALEKS: Getting Started (.pdf)

Orientation Quick Tips (.pdf)

Orientation PowerPoint (.ppt)

Registration - No Code

IF YOU LIKE ALEKS, BUT YOU FIND THE PACE IN 141 TO BE TOO FAST, TRY THE MATH 15s!

These are great, 1-unit, online, ALEKS-based, self-paced refreshers that have helped many students. 15E is trig; 15F is college algebra. A No-Pass grade does not affect GPA, though it does appear on your transcript; it can be a problem if you are on academic probation. 15E includes 15D (geometry). Instead of enrolling in both 15E and 15F, contact the instructor, and they may be able to make arrangements with you to just enroll in one Precalculus class, though you may be facing material you have not seen yet.

These are offered at different times throughout the semester. You could take more than one in one semester! Get a good foundation for your classes!

http://classschedule.sdccd.edu/

 

Class Resources

VIDEOS; CLASS & HOMEWORK SCHEDULE (tentative; updated frequently; check regularly)

WEB SITES, BOOKS, RESOURCES

TEST-TAKING TIPS; REDUCING TEST ANXIETY: Test.html   Test.pdf (pdf file)

FREE ONLINE BOOK (OPENSTAX PRECALCULUS): https://openstax.org/details/precalculus

 

FREE ONLINE BOOK (PRECALCULUS DEMYSTIFIED): http://libraryproxy.sdmesa.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=138326&site=ehost-live

FREE MATH AND SCIENCE WORKSHOPS!  http://www.sdmesa.edu/STEMworkshops

First Day

REGISTER TO VOTE: If you are not registered to vote, please register online today:  http://www.tinyurl.com/reg2voteonline   Please choose the vote-by-mail option.

 

Syllabus (Spring 2020): Syllabus

 

Instructor Schedule; Office Hours (Spring 2020): Poster.pdf

 

Printing Suggestions for Typed Files

I recommend two-page-to-a-side and/or double-sided printing to save paper. Color printing is nice, but B&W printing is cheaper.

These are pdf files. You can get the free Adobe Reader at http://www.adobe.com. Get a version that is compatible with your system!

 

Class Notes

Many students benefit from printing the notes for a lecture beforehand, reviewing them, and commenting on them in class.

You may want to take personalized sketch notes in class.

Creative Commons License: For attribution, simply mention my name and/or web URL somewhere if you are using huge chunks of the notes. I simply want due credit.

Notes for Quiz 1A and Quiz 1B (last revised 1/27/13)

Chapter 0: Preliminary Topics: (last revised 1/27/13)

NEW!! QUADRATIC FORMULA SONG! (SECTION 0.11): https://www.youtube.com/watch?v=IfpkQVyqK7c

  Chapter 1: Functions

CORRECTION to 1.2.3! In the middle of page 1.2.3, -9 (instead of 9) is not in the domain of f.

MATH DANCES FOR GRAPHING!

http://9gag.com/gag/4419992/do-the-math-dance (correction: x^2 + y^2 = r^2)

http://www.seyedrezabazyar.com/fa/math-dances/

https://www.reddit.com/r/geek/comments/444shr/dancing_mathematician/ (see the dance!)

(The following notes will be revised for later semesters. Section and page references may be inconsistent with the new Chapters 0 and 1. Please Email me with comments/suggestions.)

Notes for Midterm 2

Chapter 2: Polynomial and Rational Functions

Chapter 3: Exponential and Logarithmic Functions

CARD SHARKS AND (NEARLY) EXPONENTIAL GROWTH:  https://www.youtube.com/watch?v=6z8IK4dj_uY

https://www.youtube.com/watch?v=vCzvH9nLZYA

WATCH THE SIMPSONS!

http://www.youtube.com/watch?v=bZivCw3bB6w

Notes for Midterm 3

Chapter 4: Trigonometry

Basic Trig IDs (handout in class): Basic Trig IDs (revised from 5.1 notes: 3/8/18)

VISUALIZING THE SIX BASIC TRIG FUNCTIONS:

http://www.kkuniyuk.com/TrigSixParts.pdf (revised 2/11/06)

http://imgur.com/oSq3D5j?r

Notes for Midterm 4

Chapter 5: Analytic Trigonometry

More Trig IDs (handout in class): Handout.

Chapter 6: Additional Topics in Trigonometry

KHAN ACADEMY ON EULER FORMULA. (Do you have emotion?)

https://www.youtube.com/watch?v=mgNtPOgFje0

Notes for Final

Chapter 7: Systems of Equations and Inequalities

Chapter 8: Matrices and Determinants

Chapter 9: Discrete Math

SECTION 9.4: KHAN ACADEMY ON INDUCTION: https://www.khanacademy.org/math/algebra-home/alg-series-and-induction/alg-induction/v/proof-by-induction

SECTION 9.5: VIDEOS AND PASCAL’S TRIANGLE MAGIC: CLICK ON Notes for Final

Chapter 10: Conics and Polar Coordinates [as time permits] (Ch.10 is mostly handwritten.)

ANIMATION ON CONICS

https://www.youtube.com/watch?v=HO2zAU3Eppo

Corrections: (0:48-1:07) The double-nappe cone (or simply cone here should not be thought of as finite, so there are no bases nd there is no base perimeter. The term directrix is used elsewhere, especially when describing parabolas.

In previous semesters, the final was cumulative. For your information, here was the outline provided: Math141OldFinalOutline.pdf

 

Homework Assignments

Printed hard copies of these will be provided in class.

GO THROUGH MY HOME PAGE (OR SEE ME) IF YOU'D LIKE TO KEEP YOUR NAME "PRIVATE" ON YOUR HOMEWORK.

Instructions

#1-A: HW   Answers   (Ch.0 in my notes) (9 points)  (revised 1/19/16)

#1-B: HW   Answers   (Ch.1) (6 points)   (revised 9/3/15)

#2: HW   Answers   (Chs.2 and 3) (15 points)   (revised 9/16/16)

#3: HW   Answers   (Ch.4) (15 points)   (revised 9/29/18 – minor edits)

#4: HW   Answers   (Chs.5 and 6) (15 points)   (revised 4/1/17 – minor edits)

#5: HW   Answers   (Chs.7-10) (25 points). (revised 5/1/18 – minor edit)

PolarGraphPaper (Ch.10; created using Mathematica with Microsoft Word)

 

Old Exams and Solutions (Fall 2019)

Disclaimer: Your exams might look very different from these! Lengths of exam times may be different.

If your printer is broken, you can ask me for printed hard copies in my office hours.

Quiz 1A   Solutions (1 hour and 15 minutes)

Chapter 0: Preliminary Topics

Quiz 1B   Solutions (50 minutes)

Chapter 1: Functions

Midterm #2   Solutions (50 minutes for Part 1; 1 hour and 20 minutes for Part 2)

Chapter 2: Polynomial and Rational Functions

Chapter 3: Exponential and Logarithmic Functions

Midterm #3   Solutions (40 minutes for Part 1; 1 hour and 30 minutes for Part 2)

Chapter 4: Trigonometry

Midterm #4   Solutions (40 minutes for Part 1; 1 hour and 30 minutes for Part 2)

Chapter 5: Analytic Trigonometry

Chapter 6: Additional Topics in Trigonometry

Final   Solutions (2 hours and 20 minutes). Material covered in later terms may differ.

Chapter 7: Systems of Equations [and Inequalities]  (Sections 7.5, 7.6 not on Final.)

Chapter 8: Matrices and Determinants  (Sections 8.3, 8.5 not on Final.)

Chapter 9: Discrete Math

Chapter 10: Conics and Polar Coordinates

Exams and solutions will be posted about a week after you take them.

 

Current Exams and Solutions (Spring 2020)

Exams and solutions will be posted about a week after you take them.

 

Email me (I encourage corrections!)   HOME